Convergence to equilibria for a three-dimensional
conserved phase-field system with memory

Gianluca Mola
Abstract:
We consider a conserved phase-field system with thermal memory
on a tridimensional bounded domain.
Assuming that the nonlinearity is real analytic, we use a
Lojasiewicz-Simon type inequality to study the convergence to
steady states of single trajectories. We also give an estimate of
the convergence rate.